1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_XPRHELPER_H 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_XPRHELPER_H 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// just a workaround because GCC seems to not really like empty structs 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// FIXME: gcc 4.3 generates bad code when strict-aliasing is enabled 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// so currently we simply disable this optimization for gcc 4.3 17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#if (defined __GNUG__) && !((__GNUC__==4) && (__GNUC_MINOR__==3)) 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define EIGEN_EMPTY_STRUCT_CTOR(X) \ 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STRONG_INLINE X() {} \ 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STRONG_INLINE X(const X& ) {} 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#else 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath #define EIGEN_EMPTY_STRUCT_CTOR(X) 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace Eigen { 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypedef EIGEN_DEFAULT_DENSE_INDEX_TYPE DenseIndex; 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace internal { 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath//classes inheriting no_assignment_operator don't generate a default operator=. 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathclass no_assignment_operator 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath private: 35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath no_assignment_operator& operator=(const no_assignment_operator&); 36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal return the index type with the largest number of bits */ 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename I1, typename I2> 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct promote_index_type 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional<(sizeof(I1)<sizeof(I2)), I2, I1>::type type; 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 45c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal If the template parameter Value is Dynamic, this class is just a wrapper around a T variable that 46c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * can be accessed using value() and setValue(). 47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Otherwise, this class is an empty structure and value() just returns the template parameter Value. 48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 49c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T, int Value> class variable_if_dynamic 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_EMPTY_STRUCT_CTOR(variable_if_dynamic) 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath explicit variable_if_dynamic(T v) { EIGEN_ONLY_USED_FOR_DEBUG(v); assert(v == T(Value)); } 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath static T value() { return T(Value); } 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath void setValue(T) {} 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> class variable_if_dynamic<T, Dynamic> 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath T m_value; 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath variable_if_dynamic() { assert(false); } 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath explicit variable_if_dynamic(T value) : m_value(value) {} 64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath T value() const { return m_value; } 65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath void setValue(T value) { m_value = value; } 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 687faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez/** \internal like variable_if_dynamic but for DynamicIndex 697faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez */ 707faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename T, int Value> class variable_if_dynamicindex 717faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez{ 727faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez public: 737faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez EIGEN_EMPTY_STRUCT_CTOR(variable_if_dynamicindex) 747faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez explicit variable_if_dynamicindex(T v) { EIGEN_ONLY_USED_FOR_DEBUG(v); assert(v == T(Value)); } 757faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez static T value() { return T(Value); } 767faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez void setValue(T) {} 777faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez}; 787faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 797faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename T> class variable_if_dynamicindex<T, DynamicIndex> 807faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez{ 817faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez T m_value; 827faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez variable_if_dynamicindex() { assert(false); } 837faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez public: 847faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez explicit variable_if_dynamicindex(T value) : m_value(value) {} 857faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez T value() const { return m_value; } 867faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez void setValue(T value) { m_value = value; } 877faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez}; 887faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct functor_traits 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Cost = 10, 947faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez PacketAccess = false, 957faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez IsRepeatable = false 96c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 97c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 98c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 99c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct packet_traits; 100c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 101c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct unpacket_traits 102c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 103c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef T type; 104c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum {size=1}; 105c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 106c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 107c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename _Scalar, int _Rows, int _Cols, 108c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath int _Options = AutoAlign | 109c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ( (_Rows==1 && _Cols!=1) ? RowMajor 110c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : (_Cols==1 && _Rows!=1) ? ColMajor 111c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION ), 112c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath int _MaxRows = _Rows, 113c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath int _MaxCols = _Cols 114c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath> class make_proper_matrix_type 115c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 116c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { 117c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IsColVector = _Cols==1 && _Rows!=1, 118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IsRowVector = _Rows==1 && _Cols!=1, 119c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Options = IsColVector ? (_Options | ColMajor) & ~RowMajor 120c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : IsRowVector ? (_Options | RowMajor) & ~ColMajor 121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : _Options 122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 123c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<_Scalar, _Rows, _Cols, Options, _MaxRows, _MaxCols> type; 125c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 126c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 127c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Scalar, int Rows, int Cols, int Options, int MaxRows, int MaxCols> 128c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathclass compute_matrix_flags 129c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 130c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { 131c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath row_major_bit = Options&RowMajor ? RowMajorBit : 0, 132c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath is_dynamic_size_storage = MaxRows==Dynamic || MaxCols==Dynamic, 133c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 134c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath aligned_bit = 135c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ( 136c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ((Options&DontAlign)==0) 137c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath && ( 138c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#if EIGEN_ALIGN_STATICALLY 139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ((!is_dynamic_size_storage) && (((MaxCols*MaxRows*int(sizeof(Scalar))) % 16) == 0)) 140c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#else 141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 0 142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath || 145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 146c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#if EIGEN_ALIGN 147c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath is_dynamic_size_storage 148c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#else 149c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 0 150c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif 151c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 152c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ) 153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ) ? AlignedBit : 0, 154c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath packet_access_bit = packet_traits<Scalar>::Vectorizable && aligned_bit ? PacketAccessBit : 0 155c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 156c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 157c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 158c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { ret = LinearAccessBit | LvalueBit | DirectAccessBit | NestByRefBit | packet_access_bit | row_major_bit | aligned_bit }; 159c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 160c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 161c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<int _Rows, int _Cols> struct size_at_compile_time 162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 163c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { ret = (_Rows==Dynamic || _Cols==Dynamic) ? Dynamic : _Rows * _Cols }; 164c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 165c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 166c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/* plain_matrix_type : the difference from eval is that plain_matrix_type is always a plain matrix type, 167c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * whereas eval is a const reference in the case of a matrix 168c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 169c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 170c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T, typename StorageKind = typename traits<T>::StorageKind> struct plain_matrix_type; 171c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T, typename BaseClassType> struct plain_matrix_type_dense; 172c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct plain_matrix_type<T,Dense> 173c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 174c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename plain_matrix_type_dense<T,typename traits<T>::XprKind>::type type; 175c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 176c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 177c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct plain_matrix_type_dense<T,MatrixXpr> 178c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 179c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<typename traits<T>::Scalar, 180c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::RowsAtCompileTime, 181c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::ColsAtCompileTime, 182c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath AutoAlign | (traits<T>::Flags&RowMajorBit ? RowMajor : ColMajor), 183c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::MaxRowsAtCompileTime, 184c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::MaxColsAtCompileTime 185c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath > type; 186c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 187c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 188c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct plain_matrix_type_dense<T,ArrayXpr> 189c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 190c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Array<typename traits<T>::Scalar, 191c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::RowsAtCompileTime, 192c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::ColsAtCompileTime, 193c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath AutoAlign | (traits<T>::Flags&RowMajorBit ? RowMajor : ColMajor), 194c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::MaxRowsAtCompileTime, 195c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath traits<T>::MaxColsAtCompileTime 196c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath > type; 197c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 198c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 199c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/* eval : the return type of eval(). For matrices, this is just a const reference 200c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * in order to avoid a useless copy 201c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 202c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 203c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T, typename StorageKind = typename traits<T>::StorageKind> struct eval; 204c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 205c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct eval<T,Dense> 206c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 207c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename plain_matrix_type<T>::type type; 208c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// typedef typename T::PlainObject type; 209c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// typedef T::Matrix<typename traits<T>::Scalar, 210c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// traits<T>::RowsAtCompileTime, 211c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// traits<T>::ColsAtCompileTime, 212c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// AutoAlign | (traits<T>::Flags&RowMajorBit ? RowMajor : ColMajor), 213c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// traits<T>::MaxRowsAtCompileTime, 214c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// traits<T>::MaxColsAtCompileTime 215c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// > type; 216c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 217c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 218c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for matrices, no need to evaluate, just use a const reference to avoid a useless copy 219c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols> 220c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct eval<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>, Dense> 221c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 222c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef const Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>& type; 223c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 224c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 225c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols> 226c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct eval<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>, Dense> 227c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 228c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef const Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>& type; 229c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 230c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 231c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 232c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 233c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/* plain_matrix_type_column_major : same as plain_matrix_type but guaranteed to be column-major 234c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 235c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct plain_matrix_type_column_major 236c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 237c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { Rows = traits<T>::RowsAtCompileTime, 238c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Cols = traits<T>::ColsAtCompileTime, 239c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxRows = traits<T>::MaxRowsAtCompileTime, 240c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxCols = traits<T>::MaxColsAtCompileTime 241c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 242c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<typename traits<T>::Scalar, 243c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Rows, 244c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Cols, 245c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (MaxRows==1&&MaxCols!=1) ? RowMajor : ColMajor, 246c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxRows, 247c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxCols 248c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath > type; 249c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 250c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 251c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/* plain_matrix_type_row_major : same as plain_matrix_type but guaranteed to be row-major 252c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 253c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct plain_matrix_type_row_major 254c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 255c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { Rows = traits<T>::RowsAtCompileTime, 256c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Cols = traits<T>::ColsAtCompileTime, 257c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxRows = traits<T>::MaxRowsAtCompileTime, 258c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxCols = traits<T>::MaxColsAtCompileTime 259c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 260c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<typename traits<T>::Scalar, 261c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Rows, 262c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Cols, 263c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (MaxCols==1&&MaxRows!=1) ? RowMajor : ColMajor, 264c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxRows, 265c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxCols 266c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath > type; 267c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 268c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 269c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// we should be able to get rid of this one too 270c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> struct must_nest_by_value { enum { ret = false }; }; 271c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 272c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal The reference selector for template expressions. The idea is that we don't 273c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * need to use references for expressions since they are light weight proxy 274c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * objects which should generate no copying overhead. */ 275c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate <typename T> 276c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct ref_selector 277c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 278c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional< 279c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath bool(traits<T>::Flags & NestByRefBit), 280c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath T const&, 281c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const T 282c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type type; 283c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 284c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 285c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal Adds the const qualifier on the value-type of T2 if and only if T1 is a const type */ 286c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T1, typename T2> 287c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct transfer_constness 288c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 289c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional< 290c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath bool(internal::is_const<T1>::value), 291c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename internal::add_const_on_value_type<T2>::type, 292c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath T2 293c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type type; 294c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 295c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 296c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal Determines how a given expression should be nested into another one. 297c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * For example, when you do a * (b+c), Eigen will determine how the expression b+c should be 298c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * nested into the bigger product expression. The choice is between nesting the expression b+c as-is, or 299c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * evaluating that expression b+c into a temporary variable d, and nest d so that the resulting expression is 300c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * a*d. Evaluating can be beneficial for example if every coefficient access in the resulting expression causes 301c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * many coefficient accesses in the nested expressions -- as is the case with matrix product for example. 302c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 303c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \param T the type of the expression being nested 304c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \param n the number of coefficient accesses in the nested expression for each coefficient access in the bigger expression. 305c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 306c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Note that if no evaluation occur, then the constness of T is preserved. 307c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 308c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Example. Suppose that a, b, and c are of type Matrix3d. The user forms the expression a*(b+c). 309c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * b+c is an expression "sum of matrices", which we will denote by S. In order to determine how to nest it, 310c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * the Product expression uses: nested<S, 3>::ret, which turns out to be Matrix3d because the internal logic of 311c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * nested determined that in this case it was better to evaluate the expression b+c into a temporary. On the other hand, 312c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * since a is of type Matrix3d, the Product expression nests it as nested<Matrix3d, 3>::ret, which turns out to be 313c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * const Matrix3d&, because the internal logic of nested determined that since a was already a matrix, there was no point 314c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * in copying it into another matrix. 315c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 316c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T, int n=1, typename PlainObject = typename eval<T>::type> struct nested 317c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 318c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { 319c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // for the purpose of this test, to keep it reasonably simple, we arbitrarily choose a value of Dynamic values. 320c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // the choice of 10000 makes it larger than any practical fixed value and even most dynamic values. 321c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // in extreme cases where these assumptions would be wrong, we would still at worst suffer performance issues 322c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // (poor choice of temporaries). 323c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // it's important that this value can still be squared without integer overflowing. 324c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DynamicAsInteger = 10000, 325c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ScalarReadCost = NumTraits<typename traits<T>::Scalar>::ReadCost, 3267faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez ScalarReadCostAsInteger = ScalarReadCost == Dynamic ? int(DynamicAsInteger) : int(ScalarReadCost), 327c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CoeffReadCost = traits<T>::CoeffReadCost, 3287faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez CoeffReadCostAsInteger = CoeffReadCost == Dynamic ? int(DynamicAsInteger) : int(CoeffReadCost), 329c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath NAsInteger = n == Dynamic ? int(DynamicAsInteger) : n, 330c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CostEvalAsInteger = (NAsInteger+1) * ScalarReadCostAsInteger + CoeffReadCostAsInteger, 331c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CostNoEvalAsInteger = NAsInteger * CoeffReadCostAsInteger 332c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 333c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 334c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional< 335c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ( (int(traits<T>::Flags) & EvalBeforeNestingBit) || 336c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath int(CostEvalAsInteger) < int(CostNoEvalAsInteger) 337c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ), 338c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath PlainObject, 339c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename ref_selector<T>::type 340c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type type; 341c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 342c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 343c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename T> 344c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathT* const_cast_ptr(const T* ptr) 345c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 346c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return const_cast<T*>(ptr); 347c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 348c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 349c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived, typename XprKind = typename traits<Derived>::XprKind> 350c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct dense_xpr_base 351c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 352c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath /* dense_xpr_base should only ever be used on dense expressions, thus falling either into the MatrixXpr or into the ArrayXpr cases */ 353c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 354c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 355c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 356c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct dense_xpr_base<Derived, MatrixXpr> 357c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 358c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef MatrixBase<Derived> type; 359c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 360c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 361c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 362c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct dense_xpr_base<Derived, ArrayXpr> 363c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 364c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef ArrayBase<Derived> type; 365c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 366c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 367c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal Helper base class to add a scalar multiple operator 368c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * overloads for complex types */ 369c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived,typename Scalar,typename OtherScalar, 370c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath bool EnableIt = !is_same<Scalar,OtherScalar>::value > 371c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct special_scalar_op_base : public DenseCoeffsBase<Derived> 372c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 373c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // dummy operator* so that the 374c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // "using special_scalar_op_base::operator*" compiles 375c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath void operator*() const; 376c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 377c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 378c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived,typename Scalar,typename OtherScalar> 379c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct special_scalar_op_base<Derived,Scalar,OtherScalar,true> : public DenseCoeffsBase<Derived> 380c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 381c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const CwiseUnaryOp<scalar_multiple2_op<Scalar,OtherScalar>, Derived> 382c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath operator*(const OtherScalar& scalar) const 383c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 384c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return CwiseUnaryOp<scalar_multiple2_op<Scalar,OtherScalar>, Derived> 385c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (*static_cast<const Derived*>(this), scalar_multiple2_op<Scalar,OtherScalar>(scalar)); 386c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 387c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 388c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline friend const CwiseUnaryOp<scalar_multiple2_op<Scalar,OtherScalar>, Derived> 389c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath operator*(const OtherScalar& scalar, const Derived& matrix) 390c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { return static_cast<const special_scalar_op_base&>(matrix).operator*(scalar); } 391c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 392c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 393c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename XprType, typename CastType> struct cast_return_type 394c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 395c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename XprType::Scalar CurrentScalarType; 396c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename remove_all<CastType>::type _CastType; 397c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename _CastType::Scalar NewScalarType; 398c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional<is_same<CurrentScalarType,NewScalarType>::value, 399c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const XprType&,CastType>::type type; 400c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 401c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 402c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate <typename A, typename B> struct promote_storage_type; 403c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 404c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate <typename A> struct promote_storage_type<A,A> 405c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 406c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef A ret; 407c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 408c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 409c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal gives the plain matrix or array type to store a row/column/diagonal of a matrix type. 410c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \param Scalar optional parameter allowing to pass a different scalar type than the one of the MatrixType. 411c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 412c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename ExpressionType, typename Scalar = typename ExpressionType::Scalar> 413c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct plain_row_type 414c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 415c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<Scalar, 1, ExpressionType::ColsAtCompileTime, 416c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ExpressionType::PlainObject::Options | RowMajor, 1, ExpressionType::MaxColsAtCompileTime> MatrixRowType; 417c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Array<Scalar, 1, ExpressionType::ColsAtCompileTime, 418c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ExpressionType::PlainObject::Options | RowMajor, 1, ExpressionType::MaxColsAtCompileTime> ArrayRowType; 419c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 420c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional< 421c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath is_same< typename traits<ExpressionType>::XprKind, MatrixXpr >::value, 422c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixRowType, 423c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ArrayRowType 424c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type type; 425c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 426c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 427c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename ExpressionType, typename Scalar = typename ExpressionType::Scalar> 428c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct plain_col_type 429c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 430c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<Scalar, ExpressionType::RowsAtCompileTime, 1, 431c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ExpressionType::PlainObject::Options & ~RowMajor, ExpressionType::MaxRowsAtCompileTime, 1> MatrixColType; 432c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Array<Scalar, ExpressionType::RowsAtCompileTime, 1, 433c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ExpressionType::PlainObject::Options & ~RowMajor, ExpressionType::MaxRowsAtCompileTime, 1> ArrayColType; 434c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 435c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional< 436c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath is_same< typename traits<ExpressionType>::XprKind, MatrixXpr >::value, 437c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixColType, 438c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ArrayColType 439c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type type; 440c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 441c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 442c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename ExpressionType, typename Scalar = typename ExpressionType::Scalar> 443c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct plain_diag_type 444c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 445c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { diag_size = EIGEN_SIZE_MIN_PREFER_DYNAMIC(ExpressionType::RowsAtCompileTime, ExpressionType::ColsAtCompileTime), 446c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath max_diag_size = EIGEN_SIZE_MIN_PREFER_FIXED(ExpressionType::MaxRowsAtCompileTime, ExpressionType::MaxColsAtCompileTime) 447c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 448c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Matrix<Scalar, diag_size, 1, ExpressionType::PlainObject::Options & ~RowMajor, max_diag_size, 1> MatrixDiagType; 449c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef Array<Scalar, diag_size, 1, ExpressionType::PlainObject::Options & ~RowMajor, max_diag_size, 1> ArrayDiagType; 450c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 451c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename conditional< 452c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath is_same< typename traits<ExpressionType>::XprKind, MatrixXpr >::value, 453c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixDiagType, 454c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ArrayDiagType 455c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type type; 456c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 457c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 458c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename ExpressionType> 459c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct is_lvalue 460c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 461c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { value = !bool(is_const<ExpressionType>::value) && 462c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath bool(traits<ExpressionType>::Flags & LvalueBit) }; 463c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 464c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 465c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} // end namespace internal 466c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 467c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} // end namespace Eigen 468c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 469c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif // EIGEN_XPRHELPER_H 470